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Katie Geometry

Katie's Geometry Facts

Point location one dot
Plane a flat surface made of at leas three points
collinear points on the same line
non-collinear points not on the same line
coplainer points on the same plane
line segment can be measured
between a point between two other points
congruent two segments that have the same measurement of length ~ =
distance number of units between two points on a number line D = square root (x-x)squared + (y-y)squared
midpoint half way between a point and the end point
midpoint plane formula m= x+x/2 and y-y/2
ray part of a line that has an endpoint and extends indefinitely in one direction.
opposite ray two rays with the same starting point and going in opposite directions.
degree what you measure angles in
angle formed by two non collinear rays that have a common endpoint; the rays are called sides and the common endpoint is called the vertex
right angle equals 90 degrees
acute less than 90 degree
obtuse greater than 90
congruent angles angles that have the same measurement
adjacent angles two angle that lie on the same plane and have a common vertex and common sides but have no common interior points.
vertical angles two non adjacent angles made by an intersection and are always congruent
linear pair pair of adjacent angles with non common sides that are opposite rays.
supplementary angles two angles that equal 180 degrees
perpendicular lines line segments that make an intersection and all make 90 degree angles.
conjecture educated guess based on known knowledge.
inductive reasoning reasoning that uses a number of specific examples to arrive at a good prediction.
counter example makes the inductive reasoning false.
statement a sentence that is either true or false but not both.
negate opposite meaning - put a not in the sentence.~ means not
compound statement two or more statements joined together.
conjunction a compound statement formed by two statement joined by and ^
disjunction a compound statement by joining two statements with or V
conditional statement can be written in a "if then form"
conclusion an if phrase immediately followed by then
converse statement formed by exchanging the hypothesis and conclusion
hypothesis a then phrase immediately followed by if.
inverse statement negates the hypothesis and the conclusion
contra-point negates both the hypotheses and the conclusion and the converse statement
deductive reasoning using facts, rules, definitions, or properties to reach a logical conclusion.
law of detachment if P then Q is true, then P is true, and Q is also true.
law of syllogism if P then Q. and Q is R then P is R
postulate statement that is accepted as true
postulate statement 2.1 through any two points there is exactly one line
postulate statement 2.2 through any three points not on the same line there is exactly one plane
postulate statement 2.3 a line that contains at least two points
postulate statement 2.4 a plane contains at leas thee points not on the same line
postulate 2.5 if two points on lie on the same plane the entire lines points are also on that same plane
postulate 2.6 when two lines intersect then the intersection is a point.
Postulate 2.7 if two planes intersect then the intersection is a line
theorem statement that can be proven true by undefined terms, definitions, and postulates.
proof a logical argument
Created by: kcorkinsnctc